Abstract

The interplay between Coulomb repulsion and magnetic frustration and its effect on persistent currents in the Hubbard model are studied. We consider a system of tight-binding electrons confined to a cylindrical geometry subject to a solenoid flux threading its center and a magnetic field perpendicular to the face. Here, the magnetic field introduces frustration, the flux per plaquette in units of flux quantum, $f=p/q$ with p and q being relative prime integer. Mean-field calculations show that the on-site Coulomb repulsion decreases the persistent current by opening a gap at the Fermi level. The suppressive role of the Coulomb interaction is influenced by the frustration, which depends on the parity of q for the half-filled case. For odd q, the persistent current is suppressed by the frustration, but the opposite is true for even q; i.e., the frustration reduces the interaction effect and enhances the persistent current.

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